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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2406.03419 |
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| _version_ | 1866916621037076480 |
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| author | Daners, Daniel Zeaiter, Zeaiter |
| author_facet | Daners, Daniel Zeaiter, Zeaiter |
| contents | We consider a parameter dependent periodic-logistic problem with a logistic term involving a degeneracy that replicates time dependent refuges in the habitat of a population. Working under no or very minimal assumptions on the boundary regularity of the domain we show the existence of a time-periodic solution which bifurcates with respect to the parameter and show their stability. We show that under suitable assumptions that the periodic solution blows up on part of the domain and remains finite on other parts when the parameter approaches a critical value. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03419 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Logistic growth in seasonally changing environments Daners, Daniel Zeaiter, Zeaiter Analysis of PDEs 35K20 (Primary) 35B09, 35K37 (Secondary) We consider a parameter dependent periodic-logistic problem with a logistic term involving a degeneracy that replicates time dependent refuges in the habitat of a population. Working under no or very minimal assumptions on the boundary regularity of the domain we show the existence of a time-periodic solution which bifurcates with respect to the parameter and show their stability. We show that under suitable assumptions that the periodic solution blows up on part of the domain and remains finite on other parts when the parameter approaches a critical value. |
| title | Logistic growth in seasonally changing environments |
| topic | Analysis of PDEs 35K20 (Primary) 35B09, 35K37 (Secondary) |
| url | https://arxiv.org/abs/2406.03419 |